Explanation Given Information: The hyperbola having center at ( 0 , 0 ) , focus at ( 3 , 0 ) and vertex at ( 1 , 0 ) . Explanation: The center of hyperbola is at ( h , k ) = ( 0 , 0 ) . ⇒ h = 0 , k = 0 Since, the y − coordinate of the center, focus and vertex are same, the transverse axis is parallel to the x axis. The equation of hyperbola with center ( h , k ) and transverse axis parallel to the x axis is ( x − h ) 2 a 2 − ( y − k ) 2 b 2 = 1 . The distance between the center and the focus is c . Thus, by using distance formula, c = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 ⇒ c = ( 3 − 0 ) 2 + ( 0 − 0 ) 2 ⇒ c = 3 The distance between the center and the vertex is a . Thus by using distance formula, a = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 ⇒ a = ( 1 − 0 ) 2 + ( 0 − 0 )

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

4th Edition

ISBN: 9780134686974

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Chapter 9.4, Problem 19AYU

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An equation for the hyperbola having center at (0, 0), focus at (3, 0) and vertex at (1, 0).

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Chapter 9.4, Problem 18AYU

Chapter 9.4, Problem 20AYU

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Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

Ch. 9.2 - The formula for the distance d from P 1 =( x 1 , y...Ch. 9.2 - To complete the square of x 2 4x , add_______...Ch. 9.2 - Use the Square Root Method to find the real...Ch. 9.2 - The point that is symmetric with respect to the...Ch. 9.2 - To graph , shift the graph of to the...Ch. 9.2 - A(n)_______ is the collection of all point in a...Ch. 9.2 - True or false The line through the focus and...Ch. 9.2 - For the parabola , the line segment joining the...Ch. 9.2 - Answer Problems 9-12 using the figure. If , the...Ch. 9.2 - Answer Problems 9-12 using the figure. The...

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An equation for the hyperbola having center at ( 0 , 0 ) , focus at ( 3 , 0 ) and vertex at ( 1 , 0 ) .

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An equation for the hyperbola having center at (0, 0), focus at (3, 0) and vertex at (1, 0).

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